On the distribution of r-tuples of squarefree numbers in short intervals

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We cosider the number of r-tuples of squarefree numbers in a short interval. We prove that it cannot be much bigger than the expected value and we also estabish an asymptotic formula if the interval is not very short.
13 pages

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Number Theory, 11N25, 11N36, 11N37

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http://salesiana.dossiersoluciones.com/handle/123456789/75206

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0505326
 http://arxiv.org/abs/math/0505326

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arXiv